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1. |
Suppose that in order to use the substitution method for solving a system of equations, you need to solve the equation 2y – x = 7 for x. Which equation is correct in solving this equation for x? |
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A. |
x = 2y - 7 |
B. |
x = -2y + 7 |
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C. |
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D. |
x = 2y + 7 |
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Hint |
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2. |
Suppose that you solve a system of equations by using the substitution method. After you substitute an expression for y from the first equation into the second equation, you get the statement 2 = 2. This means that _____. |
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A. |
the system has infinitely many solutions |
B. |
the system has no solutions |
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C. |
the solution to the system is (0, 2) |
D. |
the solution to the system is (2, 2) |
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Hint |
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3. |
Solve the system y = x – 1 and 3x – y = 7. |
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A. |
(2, 1) |
B. |
(3, 2) |
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C. |
(-3, -2) |
D. |
(2, 3) |
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Hint |
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4. |
Solve the system x + 3y = 10 and 2x – y = –1. |
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A. |
(3, 1) |
B. |
(1, 3) |
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C. |
(-3, -2) |
D. |
(-2, -3) |
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Hint |
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5. |
Use substitution to solve the system 2y + x = 6 and 2x – 4y =-12. |
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A. |
no solution |
B. |
(-3, 0) |
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C. |
all ordered pairs |
D. |
(0, 3) |
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Hint |
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